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Finding the Fourth Proportional to 49.26, 67.84 and 46.42

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Solution

The fourth proportional to 49.26, 67.84 and 46.42 is: 63.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.26 : 67.84 = 46.42 : x
  2. Step 2: Convert to fraction form
    49.26/67.84 = 46.42/x
  3. Step 3: Cross multiply
    49.26x = 67.84 × 46.42
  4. Step 4: Simplify right side
    49.26x = 3,149.13
  5. Step 5: Solve for x
    x = 3,149.13/49.26
  6. Step 6: Final answer
    x = 63.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.